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Finding the Third Proportional to 18,973 and 28,456

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Solution

The third proportional to 18,973 and 28,456 is: 42,678.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,973 : 28,456 = 28,456 : x
  2. Step 2: Convert to fraction form
    18,973/28,456 = 28,456/x
  3. Step 3: Cross multiply
    18,973x = 28,456 × 28,456
  4. Step 4: Simplify right side
    18,973x = 809,743,936
  5. Step 5: Solve for x
    x = 809,743,936/18,973
  6. Step 6: Final answer
    x = 42,678.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.